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Finding the Fourth Proportional to 64,991, 89,687.70 and 35,183

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Solution

The fourth proportional to 64,991, 89,687.70 and 35,183 is: 48,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,991 : 89,687.70 = 35,183 : x
  2. Step 2: Convert to fraction form
    64,991/89,687.70 = 35,183/x
  3. Step 3: Cross multiply
    64,991x = 89,687.70 × 35,183
  4. Step 4: Simplify right side
    64,991x = 3,155,482,349.10
  5. Step 5: Solve for x
    x = 3,155,482,349.10/64,991
  6. Step 6: Final answer
    x = 48,552.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.